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Simplifying 30x + 35 = 31(x + 1) Reorder the terms: 35 + 30x = 31(x + 1) Reorder the terms: 35 + 30x = 31(1 + x) 35 + 30x = (1 * 31 + x * 31) 35 + 30x = (31 + 31x) Solving 35 + 30x = 31 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 35 + 30x + -31x = 31 + 31x + -31x Combine like terms: 30x + -31x = -1x 35 + -1x = 31 + 31x + -31x Combine like terms: 31x + -31x = 0 35 + -1x = 31 + 0 35 + -1x = 31 Add '-35' to each side of the equation. 35 + -35 + -1x = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 31 + -35 -1x = 31 + -35 Combine like terms: 31 + -35 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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